Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 5

Answer

x =-1.333333333

Work Step by Step

Simplifying 16 = -3(x + -4) Reorder the terms: 16 = -3(-4 + x) 16 = (-4 * -3 + x * -3) 16 = (12 + -3x) Solving 16 = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + 3x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 3x = 12 + 0 16 + 3x = 12 Add '-16' to each side of the equation. 16 + -16 + 3x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 12 + -16 3x = 12 + -16 Combine like terms: 12 + -16 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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